Question

What is the Moment of Inertia for an object with angular acceleration of 10rad/s/s and a Torque of 5 Nm ?

Answer 1

The Newton's second law for rotational motion

$$I\alpha=\tau.$$

Hence, the moment of inertia

$$I=\frac{\tau}{\alpha}=\frac{5\:\rm N\cdot m}{10\:\rm rad/s^2}=0.5\:\rm kg\cdot m^2.$$